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The coordinates of focus of a parabola which touches `x=1, y=1, x+2y=2 and y=2x+ 2` areA. `((-(4)/(3),-(13)/(3)))`B. `(-(22)/(31),-(7)/(3))`C. `(-(1)/(20),(17)/(20))`D. none of these

Answer» Correct Answer - C
Let (a,b) be the foucs of the parabola then mirror image of this focus on the above tangents lie on directrix and directrix passes through `(0,0)`.
then we get focus `(-(1)/(20),(17)/(20))`


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